File: AND_FORALL_CONV.doc

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\DOC AND_FORALL_CONV

\TYPE {AND_FORALL_CONV : conv}

\SYNOPSIS
Moves a universal quantification outwards through a conjunction.

\KEYWORDS
conversion, quantifier.

\DESCRIBE
When applied to a term of the form {(!x.P) /\ (!x.Q)}, the conversion
{AND_FORALL_CONV} returns the theorem:
{
   |- (!x.P) /\ (!x.Q) = (!x. P /\ Q)
}
\FAILURE
Fails if applied to a term not of the form {(!x.P) /\ (!x.Q)}.

\SEEALSO
FORALL_AND_CONV, LEFT_AND_FORALL_CONV, RIGHT_AND_FORALL_CONV.

\ENDDOC